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Number of ways in which the letters of the word 'GARDEN' can b

Question

Number of ways in which the letters of the word $^{'} G A R D E N^{'}$ can be arranged with vowels in alphabetic order, is

360

240

120

480

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Number of ways in which the letters of the word

^{'} G A R D E N^{'}

can be arranged with vowels in alphabetic order, is

15 mins ago

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Text solutionVerified

The given word

G A R D EN

has

2

vowels

A

ξ

E .

Given that they have to be in the order

A E

i.e possible words will be

A E .....,

A ... E ....,

A ....... E,

.... A ... E

and so on .

Since there are

2

letters that must follow a particular order the permutations is given by

\frac{6 !}{2 !}

(There are

6

letters )

\Rightarrow

Required

= \frac{720}{2} = 360.

Hence, the answer is

360.

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Question Text	Number of ways in which the letters of the word $^{'} G A R D E N^{'}$ can be arranged with vowels in alphabetic order, is
Answer Type	Text solution:1
Upvotes	150